xenharmonic (microtonal wiki)

Omnitetrachordal MODMOS scale
15L+7s
22 tones (9+4+9)

porcupine; imperfect

P = 0.4200055842
Q = 2.6366862114 (4/3 = 6L+3.5s)

L = 54.55 to 80.00 cents (67.97 cents @ Q)
s = 0.00 to 54.55 cents (25.78 cents @ Q)

9/8 = 3L+s (218.18 to 240.00 cents)
4/3 = 6L+3s (480.00 to 490.91 cents)
MOS generator = 2L+s (160.00 to 163.64 cents)

notable EDOs: 37, 52b, 59

sLLsLLsLLsLLsLLsLLsLLL (MOS, not OTC)
|||| ||||
sLLLssLLLsLLLssLLLsLLL (OTC MODMOS) - gc 10,2,2,2,2; 4o

all modes:

`sLLL ssLLLsLLL ssLLLsLLL`		`sLLLssLLL sLLLssLLL sLLL`
`LLLs sLLLsLLLs sLLLsLLLs`		`LLLssLLLs LLLssLLLs LLLs`
		`LLssLLLsL LLssLLLsL LLsL`
		`LssLLLsLL LssLLLsLL LsLL`
		`ssLLLsLLL ssLLLsLLL sLLL`
	`sLLLsLLLs sLLL sLLLsLLLs`	`sLLLsLLLs sLLLsLLLs LLLs`
	`LLLsLLLss LLLs LLLsLLLss`
	`LLsLLLssL LLsL LLsLLLssL`
	`LsLLLssLL LsLL LsLLLssLL`
	`sLLLssLLL sLLL sLLLssLLL`
	`LLLssLLLs LLLs LLLssLLLs`
	`LLssLLLsL LLsL LLssLLLsL`
	`LssLLLsLL LsLL LssLLLsLL`
	`ssLLLsLLL sLLL ssLLLsLLL`
`sLLL sLLLsLLLs sLLLsLLLs`	`sLLLsLLLs LLLs sLLLsLLLs`
`LLLs LLLsLLLss LLLsLLLss`
`LLsL LLsLLLssL LLsLLLssL`
`LsLL LsLLLssLL LsLLLssLL`
`sLLL sLLLssLLL sLLLssLLL`		`sLLLsLLLs sLLLsLLLs sLLL`
`LLLs LLLssLLLs LLLssLLLs`		`LLLsLLLss LLLsLLLss LLLs`
`LLsL LLssLLLsL LLssLLLsL`		`LLsLLLssL LLsLLLssL LLsL`
`LsLL LssLLLsLL LssLLLsLL`		`LsLLLssLL LsLLLssLL LsLL`

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Theory

OTC 15L 7s

See also